Question

R walks 20 m North. Then he turns right and walks 30 m. Then he turns right and walks 35 m. Then he turns left and walks 15 m. Then he again turns left and walks 15 m. Determine that finally in which direction and how many metres away is he from his original position ?

• A. 30 metres West
• B. 15 metres West
• C. 45 metres East
• D. 45 metres West
• E. 30 metres East

Hint:

Use coordinate geometry or draw a path. Keep track of direction changes: Right = 90° clockwise, Left = 90° counterclockwise.

Answer 1

The Correct Option is C

Step 1: Start at origin. Walk 20 m North → position (0,20).
Step 2: Turn right (East) and walk 30 m → (30,20).
Step 3: Turn right (Sout(h) and walk 35 m → (30, -15).
Step 4: Turn left (East) and walk 15 m → (45, -15).
Step 5: Turn left (Nort(h) and walk 15 m → (45, 0).
Step 6: Final position is (45, 0) relative to start (0,0). That is 45 metres East.
Step 7: But optionss have 45 metres West, 45 metres East, etc. Check: From start (0,0) to (45,0) is 45 metres East.
Step 8: Final Answer: 45 metres East.